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Kimberly, like most people, only has 24 hours a day; but 12 of those are dedicated to her academic and nutritional activities, leaving only 12 hours for her to pursue the only two leisure activities that give her any utility: sleeping and riding her bike. Her happiness, or utility, is in fact given by the function $U(S,B)=S^2+B^2$, where S is the amount of hours spent sleeping and B is the amount of hours spent biking.

Which of the following options gives her the most utility?


6 hours of sleeping and 6 hours of bike riding


2 hours of sleeping and 10 hours of bike riding


10 hours of sleeping and 2 hours of bike riding


11 hours of sleeping and 1 hour of bike riding

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